Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 283

86
GANITASĀRASANG RATA.
CHAPTER V.
RULE-OF-THREE. The fourth subject of treatment. 1. Salutation to that blessed Vardhamāna, who is like a (helpful) relation to (all) the three worlds, and is (resplendent) like the sun in the matter of absolute knowledge, and has cast off (the taint of) all the karmas.
Next we shall expound the fourth subject of treatment, viz., rule-of-three.
The rule of operation in respect thereof is as follows:
2. Here, in the rule-of-three, Phala multiplied by Iccha and divided by Pramāna, becomes the (required) answer, when the Iccha and the Pramāna are similar, i.e., in direct proportion); and in the case of this (proportion) being inverse, this operation (in volving multiplication and division) is reversed, (so as to have division in the place of multiplication and multiplication in the place of division Examples relating to the former half of the above rule, i.e.,
on the direct rule-of-three. 3. The man who in 3 days goes over 53 yojanas--give out what (distance) he (goes over) in a year and a day.
4. A lame man walks over of a krosa together with (thereof) in 7 days. Say what (distance) ho (goes over) in 3 years (at this rate).
5. A worm goes in of a day over of an angulu. In how many days will it reach the top of the Mēru mountain from its bottom ?
6. The man who in 3 days uses up 11 karşāpanas- in what time (will) he (use up) 100 purānas along with 1 pana ?
2. Pramana and Phala together give the rate, in which Phala is a quantity of the same kind as the required answer and Promāna is of the same kind as Iccha. This Iccha is the quantity about which something is required to be found out at the given rate. For instance in the problem in stanza 3 here, 3 days is the Pramana, 57 yojanas is the Phala, and 1 year and I duy is the Iccha.
5. The height of the Meru mountain is supposed to be 99,000 yõjanus or 76,032,000,000 angulas,